Finding the Third Proportional to 13,984 and 21,840

Step by Step Solution

1. Step 1: Write the proportion equation
   13,984 : 21,840 = 21,840 : x
2. Step 2: Convert to fraction form
   13,984/21,840 = 21,840/x
3. Step 3: Cross multiply
   13,984x = 21,840 × 21,840
4. Step 4: Simplify right side
   13,984x = 476,985,600
5. Step 5: Solve for x
   x = 476,985,600/13,984
6. Step 6: Final answer
   x = 34,109.38